Frequency-independent approximation of integral formulations of Helmholtz boundary value problems
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Thu, 10/05/2012 14:00 |
Professor Mario Bebendorf (University of Bonn) |
Computational Mathematics and Applications  |
Gibson Grd floor SR |
We present recent numerical techniques for the treatment of integral formulations of Helmholtz boundary value problems in the case of high frequencies. The combination of  -matrices with further developments of the adaptive cross approximation allows to solve such problems with logarithmic-linear complexity independent of the frequency. An advantage of this new approach over existing techniques such as fast multipole methods is its stability over the whole range of frequencies, whereas other methods are efficient either for low or high frequencies. |
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